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Finding the Third Proportional to 387,337 and 915,823

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Solution

The third proportional to 387,337 and 915,823 is: 2,165,379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,337 : 915,823 = 915,823 : x
  2. Step 2: Convert to fraction form
    387,337/915,823 = 915,823/x
  3. Step 3: Cross multiply
    387,337x = 915,823 × 915,823
  4. Step 4: Simplify right side
    387,337x = 838,731,767,329
  5. Step 5: Solve for x
    x = 838,731,767,329/387,337
  6. Step 6: Final answer
    x = 2,165,379.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.